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Theory of the generalized Ginzburg-Landau parameter κ2 for strong-coupling superconductors at arbitrary impurity concentration

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Abstract

We study strong-coupling effects on the slope of the magnetization curve at the upper critical field of a type II superconductor, parametrized by the generalized Ginzburg-Landau parameter κ2. The use of the quasiclassical approach to the BCS-Gorkov theory, valid for all temperatures, allows us to present the calculations in a transparent manner. We obtain closed expressions for κ2 in terms of the solution of the eigenvalue problem determining the upper critical field, which we evaluate numerically. In the weak-coupling limit, previous results are reproduced, apart from a small correction.

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Rammer, J., Pesch, W. Theory of the generalized Ginzburg-Landau parameter κ2 for strong-coupling superconductors at arbitrary impurity concentration. J Low Temp Phys 77, 235–256 (1989). https://doi.org/10.1007/BF00681534

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  • DOI: https://doi.org/10.1007/BF00681534

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